The graph below shows the relationship between the number of months different students practiced boxing and the number of matches they won. Part A: what is the approximate y-intercept of the line of best fit and what does it represent?
Part B: write the equation for the line of best fit in the slope- intercept form and use it to predict the number of matches that could be won after 13 months of practice.
Show your work and explain your answer. Include the points used to calculate the slope
Answers
Slope = 1.5
y = 1.5x + 3.75 <<<< Line.
Question A
The y intercept is between 3 and 4 1/2. Each square is worth 1.5 on the y axis. 1/2 of 1 square then is 0.75. So the y intercept in this case is 3.75 as a rough estimate.
The y intercept represents the number of victories a student can expect with absolutely no training whatever. It cannot go into the negative region. That would have no meaning at all in the outside world. There cannot be < 0 weeks of training when talking training training time.
Question B
The way to solve this part of the question is to use two well defined points.
One point would be (7.5, 15) and the other could be the y intercept since it is pretty clear. (0,3.75)
Step One
Find the slope
m = (y2 - y1) / (x2 - x1)
Givens
y1 = 15
y2 = 3.75
x1 = 7.5
x2 = 0
Formula
m =
m = 11.25 / 7.5 = 1.5
Note
We are finding the point associated with the line and not the closest raw data point.
So far what we have is
y = mx + b
y = 1.5x + b
Step Two
Find b.
We already have the y intercept, but we should confirm it with the other point. b = 3.75 from Problem A.
However
y = 15
x = 7.5
y = 1.5x + b
15 = 1.5*7.5 + b
15 = 11.25 + b Subtract 11.25 from both sides.
15 - 11.25 = b
b = 3.75 which is just the answer we got for problem A
Answer
y = 1.5x + 3.75 <<<<
If x = 13 then just put it in the equation above.
y = 1.5x + 3.75
y = 1.5*13 + 3.75
y = 23.25 victories. Since I don't know what your choices are, I would round down to 23.
Related Questions
Of the students in your class, 12% are left-handed. What fraction of the students are left-handed? Are there more right-handed or left-handed students? Explain. Write your answers in simplest form.I need to know how many people are in what catergory please
Is 3/5 equivalent to 6/8
PLEASE HELP I GIVE THANKS
(1 pt) Segment km is 18 cm long. How long is the radius of circle N?
Answers
The equivalent value of variable x in the equation is x = 6
Given data:
The equation is represented as .
Now, isolate the x terms on one side of the equation by subtracting from both sides:
Next, simplify the left side of the equation:
Simplifying further:
Now, simplify the left side of the equation by dividing -6x by 3:
To isolate the variable x, subtract 9 from both sides:
Simplifying:
Hence, the equation is solved and x = 6.
To learn more about equations:
#SPJ4
Answer:
the value of x is 6
Step-by-step explanation:
Answers
then 5 times 1/2 = 2 and a 1/2.
Answers
12/7 = 20/x
12x = 140
x = 140/12 = 35/3 = 11.67
so radius of the large cone = 11.67 ft
Volume = 1/3 πr^2h
= 1/3(3.14)(11.67)^2(20)
= 2850.88
Answer is B. 2850.70 ft^3
Answers
x=4y=7
A. 2xy=2 times 4 times 7=2 times 28=56 not 36
B. 2x+4y=2 times 4+4 times 7=8+28=36 true
the answer is B
30+[(6÷3)+(3+4)]
Answers
6÷3 = 2
4+3=7 add 7 and 2 which is 9
now since everything inside the brackets and parenthesis is solved add the 30 to 9
30+9 = 39
Answers
Final answer:
Using base ten blocks to divide 2.16 by 3 involves representing 2.16 with the blocks, then dividing them into three equal groups. The result is 0.72.
Explanation:
To use base ten blocks to find 2.16 divided by 3, we first represent the number 2.16 using base ten blocks. This can include two 1-blocks, one 1/10-block (which represents 0.1), and six 1/100-blocks (which represent 0.1 each). Then we divide these blocks evenly among three groups, as we're dividing by 3.
Each group would end up with 0.72, as we would distribute the 1-blocks, the 1/10-block, and the 1/100-blocks evenly among the 3 groups. Therefore, 2.16 divided by 3 is 0.72 when using base ten blocks.
Learn more about Division using base ten blocks here:
#SPJ3